Final answer:
The expression 10(2 + 8y) can be correctly rewritten as 20 + 80y by applying the distributive property, making option A the correct choice.
Step-by-step explanation:
The question is asking for alternative ways to rewrite the expression 10(2 + 8y). Applying the distributive property, we multiply 10 by each term inside the parentheses. So, 10 times 2 is 20, and 10 times 8y is 80y. Hence, the expression 10(2 + 8y) can be rewritten as 20 + 80y, which corresponds with option A. None of the other options provided (B, C, and D) correctly represent the distributive property applied to the original expression, as 10(1 + 4y) would simplify to 10 + 40y, 5(2 + 8y) would equal 10 + 40y, and 40y - 20 does not result from correctly applying distributive property to the original expression.